Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/850, 34/785 quickly i.e. 1394/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/850, 34/785 is 1394/5.
LCM(41/850, 34/785) = 1394/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/850,34/785
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 41,34
Least Common Multiple of Numerators i.e. LCM of 41,34 is 1394.
GCF of Denominators means GCF of 850,785 as per the given fractions.
GCF of 850,785 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,34
Given numbers has no common factors except 1. So, there LCM is their product i.e 1394
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 41,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,34) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,34) x common factors =1 x 1 = 1
LCM(41,34) = ( 41 × 34 ) / 1
LCM(41,34) = 1394 / 1
LCM(41,34) = 1394
Lets's calculate GCF of 850,785
5 | 850, 785 |
170, 157 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1394/5
Therefore the LCM of Fractions 41/850,34/785 is 1394/5
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 850,785 . The biggest common factor number is the GCF number.
So the greatest common factor 850,785 is 5.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 41/850, 34/785?
Answer: LCM of Numerators as per given numbers 41/850, 34/785 is
LCM of Numerators i.e. for 41,34 is 1394
GCF of denominators i.e. for 850,785 is 5.
Thus, LCM of Fractions is 1394/5.Finally, LCM of Fractions for 41/850, 34/785 is 1394/5.